Sub-optimal aggregation of switched linear systems

Author

Zhu, Geng ; Sun, Zhendong

Author_Institution

Coll. of Autom. Sci. & Eng., South China Univ. of Technol., Guangzhou, China

fYear

2012

fDate

25-27 July 2012

Firstpage

2163

Lastpage

2166

Abstract

This paper investigates sub-optimal switching of switched linear systems and the corresponding aggregated systems. Based on the pathwise state feedback switching law, the switched system is aggregated into a piecewise linear system. We present a sub-optimal switching approach that designs the contractive paths and the state-space partitions in an optimal manner. The numerical example demonstrates that sub-optimal switching paths can asymptotically stabilize the switched linear system with a reduced cost.

Keywords

asymptotic stability; linear systems; numerical analysis; piecewise linear techniques; state feedback; state-space methods; time-varying systems; aggregated systems; asymptotic stabilization; contractive paths; pathwise state feedback switching law; piecewise linear system; state-space partitions; suboptimal aggregation; suboptimal switching approach; switched linear systems; Cost function; Linear systems; Lyapunov methods; State feedback; Switched systems; Switches; Trajectory; Stability; aggregated system; optimal switching; switched linear system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390282